Article citationsMore>>

Dunninger, D.R. (1972) Maximum Principles for Solutions of Some Fourth Order Elliptic Equations. Journal of Mathematical Analysis and Applications, 37, 655-658.
http://dx.doi.org/10.1016/0022-247X(72)90248-X

has been cited by the following article:

• TITLE: A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation

  AUTHORS: A. Mareno

  KEYWORDS: Nonlinear, Fourth Order, Partial Differential Equation, Semilinear

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.8, August 30, 2016

  ABSTRACT: We obtain maximum principles for solutions of some general fourth order elliptic equations by modifying an auxiliary function introduced by L.E. Payne. We give a brief application of these maximum principles by deducing apriori bounds on a certain quantity of interest.